The problem is that there is a very slight possibility that the random number generators could have communicated with each other or the rest of the experiment before the experiment began.

The unit starts with the idea of a probability space, which is how we model the outcome of a random experiment. Probability models are then introduced in terms of random variables (which are functions ...

Upper bounds are derived for the probability that the sum S of n independent random variables exceeds its mean ES by a positive number nt. It is assumed that the range of each summand of S is bounded ...

The aim of Statistical Science is to present the full range of contemporary statistical thought at a technical level accessible to the broad community of practitioners, teachers, researchers, and ...

Here the probability of these events is treated as a physical thing, a ground truth to be discovered. Unfortunately, this approach does little to reveal the nuances of the Monty Hall dilemma.

Pew Research Center designed this study to assess the current state of online survey sampling methods – both probability-based and opt-in – and determine their accuracy on general population estimates ...